Base field \(\Q(\sqrt{2}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 2 \); class number \(1\).
Elliptic curves in class 2450.2-c over \(\Q(\sqrt{2}) \)
Isogeny class 2450.2-c contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
2450.2-c1 | \( \bigl[1\) , \( -1\) , \( 0\) , \( -5 a - 10\) , \( 15 a + 16\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)